125186681521 has 16 divisors (see below), whose sum is σ = 137604427776. Its totient is φ = 112943250000.

The previous prime is 125186681467. The next prime is 125186681561.

It is a happy number.

125186681521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 125186681521 - 2¹³ = 125186673329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125186681561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709856 + ... + 1781566.

It is an arithmetic number, because the mean of its divisors is an integer number (8600276736).

Almost surely, 2^125186681521 is an apocalyptic number.

125186681521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125186681521 is a deficient number, since it is larger than the sum of its proper divisors (12417746255).

125186681521 is a wasteful number, since it uses less digits than its factorization.

125186681521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72924.

The product of its digits is 230400, while the sum is 46.

The spelling of 125186681521 in words is "one hundred twenty-five billion, one hundred eighty-six million, six hundred eighty-one thousand, five hundred twenty-one".